What is defined as two or more equations that contain common variables?

A system of equations is defined as two or more equations that contain common variables. In this context, the common variables allow you to relate the equations to one another, typically providing a means to find the values of those variables that satisfy all equations in the system simultaneously. This can involve methods such as substitution or elimination to solve for the variables.

The term “system” indicates that the equations are interconnected in some manner, often leading to a group of solutions that represent points of intersection or relationships among the equations. For example, in a linear system, the solutions might represent points where the lines of the equations intersect on a graph.

The other terms listed refer to different concepts. A quadratic equation is a specific type of polynomial equation of degree two, a relation is a general term that refers to any pairing of elements from two sets, and inverse variation describes a specific relationship where one variable increases while the other decreases, which does not involve a system of equations.